#ifndef PYTHONIC_INCLUDE_SCIPY_SPECIAL_I0_HPP
#define PYTHONIC_INCLUDE_SCIPY_SPECIAL_I0_HPP
/*
 * Adapted from Cephes Math Library Release 2.8:  June, 2000
 * Copyright 1984, 1987, 2000 by Stephen L. Moshier
 */

#include "pythonic/include/types/ndarray.hpp"
#include "pythonic/include/utils/functor.hpp"
#include "pythonic/include/utils/numpy_traits.hpp"

PYTHONIC_NS_BEGIN

namespace scipy
{
  namespace special
  {

    namespace details
    {
      /* Chebyshev coefficients for exp(-x) I0(x)
       * in the interval [0,8].
       *
       * lim(x->0){ exp(-x) I0(x) } = 1.
       */
      static constexpr double A[] = {
          -4.41534164647933937950E-18, 3.33079451882223809783E-17,  -2.43127984654795469359E-16,
          1.71539128555513303061E-15,  -1.16853328779934516808E-14, 7.67618549860493561688E-14,
          -4.85644678311192946090E-13, 2.95505266312963983461E-12,  -1.72682629144155570723E-11,
          9.67580903537323691224E-11,  -5.18979560163526290666E-10, 2.65982372468238665035E-9,
          -1.30002500998624804212E-8,  6.04699502254191894932E-8,   -2.67079385394061173391E-7,
          1.11738753912010371815E-6,   -4.41673835845875056359E-6,  1.64484480707288970893E-5,
          -5.75419501008210370398E-5,  1.88502885095841655729E-4,   -5.76375574538582365885E-4,
          1.63947561694133579842E-3,   -4.32430999505057594430E-3,  1.05464603945949983183E-2,
          -2.37374148058994688156E-2,  4.93052842396707084878E-2,   -9.49010970480476444210E-2,
          1.71620901522208775349E-1,   -3.04682672343198398683E-1,  6.76795274409476084995E-1};
      /* Chebyshev coefficients for exp(-x) sqrt(x) I0(x)
       * in the inverted interval [8,infinity].
       *
       * lim(x->inf){ exp(-x) sqrt(x) I0(x) } = 1/sqrt(2pi).
       */
      static constexpr double B[] = {
          -7.23318048787475395456E-18, -4.83050448594418207126E-18, 4.46562142029675999901E-17,
          3.46122286769746109310E-17,  -2.82762398051658348494E-16, -3.42548561967721913462E-16,
          1.77256013305652638360E-15,  3.81168066935262242075E-15,  -9.55484669882830764870E-15,
          -4.15056934728722208663E-14, 1.54008621752140982691E-14,  3.85277838274214270114E-13,
          7.18012445138366623367E-13,  -1.79417853150680611778E-12, -1.32158118404477131188E-11,
          -3.14991652796324136454E-11, 1.18891471078464383424E-11,  4.94060238822496958910E-10,
          3.39623202570838634515E-9,   2.26666899049817806459E-8,   2.04891858946906374183E-7,
          2.89137052083475648297E-6,   6.88975834691682398426E-5,   3.36911647825569408990E-3,
          8.04490411014108831608E-1};

      template <class T>
      double i0(T x);
    } // namespace details

#define NUMPY_NARY_FUNC_NAME i0
#define NUMPY_NARY_FUNC_SYM details::i0
#include "pythonic/include/types/numpy_nary_expr.hpp"
  } // namespace special
} // namespace scipy
PYTHONIC_NS_END

#endif
